A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

FAN+MEDAL+TESTIMONIAL:):)!! How many arrangements are there of the word MATHEMATICS? How many of these start with the letter M? How many of the arrangements in part a have the T’s together?

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think that this is a permutation problem. So given that there are 11 letters in the word math, I will do the following calculation

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    11P11

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Without restrictions

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @nincompoop

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hai

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hi Sir:)

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Am I on the right track?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya know I'm stuck on this question right now too :P

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is a university level math don't worryXD

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :O really? its on my 8th grade quiz

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Forgive me I am in a Canadian school.

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol ok i will try to help tho

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    gimee a sec

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Arrangement of letters of a word is a permutation question right?

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    As opposed to combination

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hi everyone:)

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Am I on the right track?

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't know.

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How many arrangements are there of the word MATHEMATICS? Rule: Start with the factorial of the number of letters in the word. Then, for each indistinguishable letter in the word, divide by the factorial of the number of times that letter occurs in the word. "MATHEMATICS" is an 11-letter word. If all the letters were distinguishable like in "MATHEmatICS", the answer would be 11! = 39916800 However, there are 2 indistinguishable M's 2 indistinguishable A's 2 indistinguishable T's Thus, using the rule, we divide 11! by (2!)(2!)(2!) \[\frac{ 11! }{ 2!*2!*2! }=\frac{ 39916800 }{ 8 }=4989600\] How many of these start with the letter M? That amounts to finding all the distinguishable arrangements of the 10-letter "word" "ATHEMATICS" and putting an M in the beginning of each. "ATHEMATICS" is a 10-letter "word" and it contains 2 indistinguishable A's 2 indistinguishable T's Thus, using the rule, we divide 10! by (2!)(2!) \[\frac{ 10! }{ 2!*2! }=\frac{ 3628800 }{ 4 }=907200\] How many of the arrangements in part a have the T’s together? That amounts to finding all the distinguishable arrangements of the 10-letter "word" "MATHEMAICS" and inserting another T to the right of the "T" in each. "MATHEMAICS" is a 10-letter "word" and it contains 2 indistinguishable M's 2 indistinguishable A's Thus, using the rule, it's exactly the same answer as the second part. We divide 10! by (2!)(2!) \[\frac{ 10! }{ 2!*2! }=\frac{ 3628800 }{ 4 }=907200\] There ya go!

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    YOU ROCK:)

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :)

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok testimonial?

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    let me know if it could be better

  24. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.